Home
Class 12
MATHS
cot(tan^(- 1)x+cot^(- 1)x)...

`cot(tan^(- 1)x+cot^(- 1)x)`

A

1

B

`1/2`

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C

Given exp. `=cotpi/2=0`.
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise Exercise 4D|6 Videos
  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Objective Questions Ii|37 Videos
  • LINEAR DIFFERENTIAL EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|27 Videos

Similar Questions

Explore conceptually related problems

The value of cot(tan^(-1)2x+cot^(-1)2x) is ... (A) 0 (B) 2x (C) 4x (D) pi+2x A B C D

The solution set of the inequality (tan^(-1)x cot^(-1)x)^(2)+5-5(tan^(-1)x)^(2)cot^(-1)x+(cot^(-1)x)^(2)-5cot^(-1)x+6(tan^(-1)x)^(2)+1lt0 is (m,n) ,the value of cot^(-1)m-cot^(-1)n is equal to (1) -1 (3) Zero

3tan^(-1)x+cot^(-1)x=pi

If x ne 0 then cos(tan^(-1)+cot^(-1)x) =?

int_((pi)/(6))^((pi)/(4))(tan x+cot xdx)/(tan^(-1)x+cot^(-1)x)

Evaluate cot (tan^(-1) (2x) + cot^(-1) (2x))

The value of 2tan^(-1)(cos ec tan^(-1)x-tan cot^(-1)x) is equal to (a)cot ^(-1)x( b ) (cot^(-1)1)/(x) (c)tan ^(-1)x (d) none of these

Evaluate: (i) sin(tan^(-1)x+(tan^(-1)1)/(x)) for x>0( ii) cot(tan^(-1)a+cot^(-1)a)

tan^(-1)(cot4x)

int(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x)dx equals